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BlackZzzverrR [31]
3 years ago
14

If the dimensions of a solid proportionally increase by a scale factor of , by what factor does the surface area increase? 

Mathematics
2 answers:
shutvik [7]3 years ago
8 0
There is not a scale factor provided.
rule of thumb

perimeter, length, etc. 
1- dimensions scale factor increases (scale factor)^1
think of answers ft, yd, etc.

area     
2-dimensional (l x w)  each dimension will increase by the scale factor. in this example, scale factor of 2.....(2l x 2w)  increase by 2^2 or 4
increased by (scale factor)^2,  think of answers given as ft^2, yd^2

volume
3-dimensional  (l x w x h), each dimension will increase by the scale factor.  in this example, scale factor of 2.....(2l x 2w x 2h) increased by 2^3 or 8
increases by (scale factor)^3, think of answers given as ft^3, yd^3

Hope this helps!!  Happy Studies.

 
weeeeeb [17]3 years ago
8 0

The answer is 25/4. hopefully his helps

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inna [77]
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4 years ago
1. Given points ????(3, −5) and ????(19, −1), find the coordinates of point ???? that sit 3/8 of the way along AB ,close to A th
Nastasia [14]

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According to the given information, we have

\dfrac{AC}{AB}=\dfrac{3}{8}\\\\\Rightarrow \dfrac{AC}{AC+BC}=\dfrac{3}{8}\\\\\Rightarrow 8AC=3AC+3BC\\\\\Rightarrow 5AC=3BC\\\\\Rightarrow AC:BC=3:5.

So, point C divides the line segment AB in the ratio 3 : 5.

We know that

if a point Q divides a line segment joining the points S(a,b) and T(c,d), in the ratio m : n, then the co-ordinates of Q are

\left(\dfrac{mc+na}{m+n},\dfrac{md+nb}{m+n}\right).

Therefore, the co-ordinates of point C are

\left(\dfrac{3\times19+5\times3}{3+5},\dfrac{3\times(-1)+5\times(-5)}{3+5}\right)\\\\\\=\left(\dfrac{57+15}{8},\dfrac{-3-25}{8}\right)\\\\=(9,-3.5).

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4 years ago
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devlian [24]

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3 years ago
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